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Finding the Third Proportional to 1,109,196 and 2,270,964

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Solution

The third proportional to 1,109,196 and 2,270,964 is: 4,649,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,196 : 2,270,964 = 2,270,964 : x
  2. Step 2: Convert to fraction form
    1,109,196/2,270,964 = 2,270,964/x
  3. Step 3: Cross multiply
    1,109,196x = 2,270,964 × 2,270,964
  4. Step 4: Simplify right side
    1,109,196x = 5,157,277,489,296
  5. Step 5: Solve for x
    x = 5,157,277,489,296/1,109,196
  6. Step 6: Final answer
    x = 4,649,563.73

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.